Pandas Profiling Report

Dataset statistics

Number of variables	21
Number of observations	3333
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	710.1 KiB
Average record size in memory	218.2 B

Variable types

NUM	16
BOOL	3
CAT	2

Reproduction

Analysis started	2020-07-27 13:13:46.939442
Analysis finished	2020-07-27 13:14:32.514025
Duration	45.57 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

`State` has a high cardinality: 51 distinct values	High cardinality
`TotalMorCharge` is highly correlated with `TotalMorMin`	High correlation
`TotalMorMin` is highly correlated with `TotalMorCharge`	High correlation
`TotalEveCharge` is highly correlated with `TotalEveMin`	High correlation
`TotalEveMin` is highly correlated with `TotalEveCharge`	High correlation
`TotalNightCharge` is highly correlated with `TotalNightMin`	High correlation
`TotalNightMin` is highly correlated with `TotalNightCharge`	High correlation
`TotalIntCharge` is highly correlated with `TotalIntMinutes`	High correlation
`TotalIntMinutes` is highly correlated with `TotalIntCharge`	High correlation
`PhoneNumber` has unique values	Unique
`NumEmailMessages` has 2411 (72.3%) zeros	Zeros
`CustomerServiceCalls` has 697 (20.9%) zeros	Zeros

State
Categorical

HIGH CARDINALITY

Distinct count	51
Unique (%)	1.5%
Missing	0
Missing (%)	0.0%
Memory size	26.0 KiB

WV	106
MN	84
NY	83
AL	80
WI	78
Other values (46)	2902

Common Values
Length

Value	Count	Frequency (%)
WV	106	3.2%
MN	84	2.5%
NY	83	2.5%
AL	80	2.4%
WI	78	2.3%
OR	78	2.3%
OH	78	2.3%
WY	77	2.3%
VA	77	2.3%
CT	74	2.2%
Other values (41)	2518	75.5%

Length

Max length	2
Median length	2
Mean length	2
Min length	2

AccountLength
Real number (ℝ_≥0)

Distinct count	212
Unique (%)	6.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	101.06480648064806
Minimum	1
Maximum	243
Zeros	0
Zeros (%)	0.0%
Memory size	26.0 KiB

Quantile statistics

Minimum	1
5-th percentile	35
Q1	74
median	101
Q3	127
95-th percentile	167
Maximum	243
Range	242
Interquartile range (IQR)	53

Descriptive statistics

Standard deviation	39.82210593
Coefficient of variation (CV)	0.3940254508
Kurtosis	-0.1078359806
Mean	101.0648065
Median Absolute Deviation (MAD)	27
Skewness	0.09660629423
Sum	336849
Variance	1585.800121

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	43	1.3%
87	42	1.3%
93	40	1.2%
101	40	1.2%
90	39	1.2%
86	38	1.1%
95	38	1.1%
116	37	1.1%
100	37	1.1%
112	36	1.1%
Other values (202)	2943	88.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	8	0.2%
2	1	< 0.1%
3	5	0.2%
4	1	< 0.1%
5	1	< 0.1%

Value	Count	Frequency (%)
243	1	< 0.1%
232	1	< 0.1%
225	2	0.1%
224	2	0.1%
221	1	< 0.1%

AreaCode
Categorical

Distinct count	3
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	26.0 KiB

415	1655
510	840
408	838

Common Values
Length

Value	Count	Frequency (%)
415	1655	49.7%
510	840	25.2%
408	838	25.1%

Length

Max length	3
Median length	3
Mean length	3
Min length	3

PhoneNumber
Real number (ℝ_≥0)

UNIQUE

Distinct count	3333
Unique (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3746291.289528953
Minimum	3271058
Maximum	4229964
Zeros	0
Zeros (%)	0.0%
Memory size	26.0 KiB

Quantile statistics

Minimum	3271058
5-th percentile	3324290.2
Q1	3508680
median	3748187
Q3	3985970
95-th percentile	4174024.6
Maximum	4229964
Range	958906
Interquartile range (IQR)	477290

Descriptive statistics

Standard deviation	274662.5738
Coefficient of variation (CV)	0.07331586161
Kurtosis	-1.224780245
Mean	3746291.29
Median Absolute Deviation (MAD)	239266
Skewness	0.009732142906
Sum	1.248638887e+10
Variance	7.543952942e+10

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3665918	1	< 0.1%
3818593	1	< 0.1%
3359501	1	< 0.1%
4123404	1	< 0.1%
4188850	1	< 0.1%
3868984	1	< 0.1%
3734274	1	< 0.1%
3384065	1	< 0.1%
3569187	1	< 0.1%
3328764	1	< 0.1%
Other values (3323)	3323	99.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3271058	1	< 0.1%
3271319	1	< 0.1%
3273053	1	< 0.1%
3273587	1	< 0.1%
3273850	1	< 0.1%

Value	Count	Frequency (%)
4229964	1	< 0.1%
4228344	1	< 0.1%
4228333	1	< 0.1%
4228268	1	< 0.1%
4227728	1	< 0.1%

InternationalPlan?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	26.0 KiB

No	3010
Yes	323

Frequency Table

Value	Count	Frequency (%)
No	3010	90.3%
Yes	323	9.7%

VoiceMailPlan?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	26.0 KiB

No	2411
Yes	922

Frequency Table

Value	Count	Frequency (%)
No	2411	72.3%
Yes	922	27.7%

NumEmailMessages
Real number (ℝ_≥0)

ZEROS

Distinct count	46
Unique (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	8.099009900990099
Minimum	0
Maximum	51
Zeros	2411
Zeros (%)	72.3%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	20
95-th percentile	36
Maximum	51
Range	51
Interquartile range (IQR)	20

Descriptive statistics

Standard deviation	13.68836537
Coefficient of variation (CV)	1.690128243
Kurtosis	-0.05112853879
Mean	8.099009901
Median Absolute Deviation (MAD)	0
Skewness	1.264823634
Sum	26994
Variance	187.3713466

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	2411	72.3%
31	60	1.8%
29	53	1.6%
28	51	1.5%
33	46	1.4%
27	44	1.3%
30	44	1.3%
24	42	1.3%
26	41	1.2%
32	41	1.2%
Other values (36)	500	15.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2411	72.3%
4	1	< 0.1%
8	2	0.1%
9	2	0.1%
10	1	< 0.1%

Value	Count	Frequency (%)
51	1	< 0.1%
50	2	0.1%
49	1	< 0.1%
48	2	0.1%
47	3	0.1%

TotalMorMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1681
Unique (%)	50.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	179.8114731473147
Minimum	0.0
Maximum	350.8
Zeros	2
Zeros (%)	0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	90.4
Q1	143.7
median	179.3
Q3	216.4
95-th percentile	270.58
Maximum	350.8
Range	350.8
Interquartile range (IQR)	72.7

Descriptive statistics

Standard deviation	54.33331286
Coefficient of variation (CV)	0.3021682205
Kurtosis	-0.01221507587
Mean	179.8114731
Median Absolute Deviation (MAD)	36.3
Skewness	-0.02543093921
Sum	599311.64
Variance	2952.108886

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
154	8	0.2%
159.5	8	0.2%
174.5	8	0.2%
175.4	7	0.2%
162.3	7	0.2%
183.4	7	0.2%
142.3	6	0.2%
181.5	6	0.2%
198.4	6	0.2%
194.8	6	0.2%
Other values (1671)	3264	97.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
2.6	1	< 0.1%
7.8	1	< 0.1%
7.9	1	< 0.1%
12.5	1	< 0.1%

Value	Count	Frequency (%)
350.8	1	< 0.1%
346.8	1	< 0.1%
345.3	1	< 0.1%
337.4	1	< 0.1%
335.5	1	< 0.1%

TotalMorCalls
Real number (ℝ_≥0)

Distinct count	119
Unique (%)	3.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.43564356435644
Minimum	0
Maximum	165
Zeros	2
Zeros (%)	0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	101
Q3	114
95-th percentile	133
Maximum	165
Range	165
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	20.06908421
Coefficient of variation (CV)	0.1998203376
Kurtosis	0.2431815246
Mean	100.4356436
Median Absolute Deviation (MAD)	13
Skewness	-0.111786639
Sum	334752
Variance	402.7681409

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
102	78	2.3%
105	75	2.3%
107	69	2.1%
95	69	2.1%
104	68	2.0%
108	67	2.0%
97	67	2.0%
110	66	2.0%
106	66	2.0%
88	66	2.0%
Other values (109)	2642	79.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
30	1	< 0.1%
35	1	< 0.1%
36	1	< 0.1%
40	2	0.1%

Value	Count	Frequency (%)
165	1	< 0.1%
163	1	< 0.1%
160	1	< 0.1%
158	3	0.1%
157	1	< 0.1%

TotalMorCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1667
Unique (%)	50.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	30.562307230723075
Minimum	0.0
Maximum	59.64
Zeros	2
Zeros (%)	0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	15.288
Q1	24.43
median	30.5
Q3	36.79
95-th percentile	46.028
Maximum	59.64
Range	59.64
Interquartile range (IQR)	12.36

Descriptive statistics

Standard deviation	9.259434554
Coefficient of variation (CV)	0.3029690947
Kurtosis	-0.01981178724
Mean	30.56230723
Median Absolute Deviation (MAD)	6.17
Skewness	-0.02908326834
Sum	101864.17
Variance	85.73712826

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
27.12	8	0.2%
26.18	8	0.2%
29.67	8	0.2%
31.18	7	0.2%
27.59	7	0.2%
29.82	7	0.2%
24.19	6	0.2%
28.66	6	0.2%
36.72	6	0.2%
26.1	6	0.2%
Other values (1657)	3264	97.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
0.44	1	< 0.1%
1.33	1	< 0.1%
1.34	1	< 0.1%
2.13	1	< 0.1%

Value	Count	Frequency (%)
59.64	1	< 0.1%
58.96	1	< 0.1%
58.7	1	< 0.1%
57.36	1	< 0.1%
57.04	1	< 0.1%

TotalEveMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1617
Unique (%)	48.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	200.95359735973597
Minimum	0.0
Maximum	363.7
Zeros	1
Zeros (%)	< 0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	118.8
Q1	166.7
median	201.2
Q3	235.3
95-th percentile	284.3
Maximum	363.7
Range	363.7
Interquartile range (IQR)	68.6

Descriptive statistics

Standard deviation	50.68826178
Coefficient of variation (CV)	0.2522386384
Kurtosis	0.0305952821
Mean	200.9535974
Median Absolute Deviation (MAD)	34.2
Skewness	-0.0226241651
Sum	669778.34
Variance	2569.299882

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
169.9	9	0.3%
220.6	7	0.2%
230.9	7	0.2%
180.5	7	0.2%
201	7	0.2%
161.7	7	0.2%
167.2	7	0.2%
195.5	7	0.2%
209.4	7	0.2%
203.8	6	0.2%
Other values (1607)	3262	97.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
31.2	1	< 0.1%
42.2	1	< 0.1%
42.5	1	< 0.1%
43.9	1	< 0.1%

Value	Count	Frequency (%)
363.7	1	< 0.1%
361.8	1	< 0.1%
354.2	1	< 0.1%
351.6	1	< 0.1%
350.9	1	< 0.1%

TotalEveCalls
Real number (ℝ_≥0)

Distinct count	123
Unique (%)	3.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.11431143114311
Minimum	0
Maximum	170
Zeros	1
Zeros (%)	< 0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	114
95-th percentile	133
Maximum	170
Range	170
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.92262529
Coefficient of variation (CV)	0.1989987746
Kurtosis	0.206156468
Mean	100.1143114
Median Absolute Deviation (MAD)	13
Skewness	-0.05556313904
Sum	333681
Variance	396.9109986

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	80	2.4%
94	79	2.4%
108	71	2.1%
97	70	2.1%
102	70	2.1%
88	69	2.1%
101	68	2.0%
109	67	2.0%
98	66	2.0%
111	65	2.0%
Other values (113)	2628	78.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
36	1	< 0.1%
37	1	< 0.1%
42	1	< 0.1%

Value	Count	Frequency (%)
170	1	< 0.1%
168	1	< 0.1%
164	1	< 0.1%
159	1	< 0.1%
157	1	< 0.1%

TotalEveCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1440
Unique (%)	43.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	17.083540354035403
Minimum	0.0
Maximum	30.91
Zeros	1
Zeros (%)	< 0.1%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	10.1
Q1	14.16
median	17.12
Q3	20
95-th percentile	24.17
Maximum	30.91
Range	30.91
Interquartile range (IQR)	5.84

Descriptive statistics

Standard deviation	4.310667643
Coefficient of variation (CV)	0.2523287067
Kurtosis	0.02548740481
Mean	17.08354035
Median Absolute Deviation (MAD)	2.92
Skewness	-0.02385798901
Sum	56939.44
Variance	18.58185553

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
14.25	11	0.3%
16.12	11	0.3%
15.9	10	0.3%
18.62	9	0.3%
14.44	9	0.3%
17.09	9	0.3%
17.99	9	0.3%
18.79	8	0.2%
16.63	8	0.2%
17.43	8	0.2%
Other values (1430)	3241	97.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
2.65	1	< 0.1%
3.59	1	< 0.1%
3.61	1	< 0.1%
3.73	1	< 0.1%

Value	Count	Frequency (%)
30.91	1	< 0.1%
30.75	1	< 0.1%
30.11	1	< 0.1%
29.89	1	< 0.1%
29.83	1	< 0.1%

TotalNightMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1598
Unique (%)	47.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	200.8676807680768
Minimum	23.2
Maximum	395.0
Zeros	0
Zeros (%)	0.0%
Memory size	26.0 KiB

Quantile statistics

Minimum	23.2
5-th percentile	118.18
Q1	167.1
median	201.1
Q3	235.3
95-th percentile	282.84
Maximum	395
Range	371.8
Interquartile range (IQR)	68.2

Descriptive statistics

Standard deviation	50.5415288
Coefficient of variation (CV)	0.2516160321
Kurtosis	0.09150042041
Mean	200.8676808
Median Absolute Deviation (MAD)	34.2
Skewness	0.009892727055
Sum	669491.98
Variance	2554.446134

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
188.2	8	0.2%
191.4	8	0.2%
197.4	8	0.2%
214.6	8	0.2%
221.6	8	0.2%
210	8	0.2%
194.3	7	0.2%
193.6	7	0.2%
214.7	7	0.2%
206.1	7	0.2%
Other values (1588)	3257	97.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
23.2	1	< 0.1%
43.7	1	< 0.1%
45	1	< 0.1%
47.4	1	< 0.1%
50.1	2	0.1%

Value	Count	Frequency (%)
395	1	< 0.1%
381.9	1	< 0.1%
377.5	1	< 0.1%
367.7	1	< 0.1%
364.9	1	< 0.1%

TotalNightCalls
Real number (ℝ_≥0)

Distinct count	120
Unique (%)	3.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.10771077107711
Minimum	33
Maximum	175
Zeros	0
Zeros (%)	0.0%
Memory size	26.0 KiB

Quantile statistics

Minimum	33
5-th percentile	68
Q1	87
median	100
Q3	113
95-th percentile	132
Maximum	175
Range	142
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.56860935
Coefficient of variation (CV)	0.1954755452
Kurtosis	-0.07201957894
Mean	100.1077108
Median Absolute Deviation (MAD)	13
Skewness	0.03249957015
Sum	333659
Variance	382.9304717

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	84	2.5%
104	78	2.3%
91	76	2.3%
102	72	2.2%
100	69	2.1%
106	69	2.1%
98	67	2.0%
94	66	2.0%
103	65	2.0%
108	64	1.9%
Other values (110)	2623	78.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
33	1	< 0.1%
36	1	< 0.1%
38	1	< 0.1%
42	2	0.1%
44	1	< 0.1%

Value	Count	Frequency (%)
175	1	< 0.1%
166	1	< 0.1%
164	1	< 0.1%
158	1	< 0.1%
157	2	0.1%

TotalNightCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	933
Unique (%)	28.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9.03932493249325
Minimum	1.04
Maximum	17.77
Zeros	0
Zeros (%)	0.0%
Memory size	26.0 KiB

Quantile statistics

Minimum	1.04
5-th percentile	5.316
Q1	7.52
median	9.05
Q3	10.59
95-th percentile	12.73
Maximum	17.77
Range	16.73
Interquartile range (IQR)	3.07

Descriptive statistics

Standard deviation	2.275872838
Coefficient of variation (CV)	0.2517746463
Kurtosis	0.08566317984
Mean	9.039324932
Median Absolute Deviation (MAD)	1.54
Skewness	0.008886236769
Sum	30128.07
Variance	5.179597173

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
9.66	15	0.5%
9.45	15	0.5%
8.88	14	0.4%
8.47	14	0.4%
7.69	13	0.4%
8.64	12	0.4%
9.14	11	0.3%
10.35	11	0.3%
10.8	11	0.3%
9.32	11	0.3%
Other values (923)	3206	96.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1.04	1	< 0.1%
1.97	1	< 0.1%
2.03	1	< 0.1%
2.13	1	< 0.1%
2.25	2	0.1%

Value	Count	Frequency (%)
17.77	1	< 0.1%
17.19	1	< 0.1%
16.99	1	< 0.1%
16.55	1	< 0.1%
16.42	1	< 0.1%

TotalIntMinutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	162
Unique (%)	4.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.237293729372938
Minimum	0.0
Maximum	20.0
Zeros	18
Zeros (%)	0.5%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	5.7
Q1	8.5
median	10.3
Q3	12.1
95-th percentile	14.7
Maximum	20
Range	20
Interquartile range (IQR)	3.6

Descriptive statistics

Standard deviation	2.791839548
Coefficient of variation (CV)	0.2727126546
Kurtosis	0.6091847602
Mean	10.23729373
Median Absolute Deviation (MAD)	1.8
Skewness	-0.2451359395
Sum	34120.9
Variance	7.794368064

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
10	62	1.9%
11.3	59	1.8%
9.8	56	1.7%
10.9	56	1.7%
10.1	53	1.6%
10.2	53	1.6%
10.6	53	1.6%
11.1	52	1.6%
11	52	1.6%
9.7	51	1.5%
Other values (152)	2786	83.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	18	0.5%
1.1	1	< 0.1%
1.3	1	< 0.1%
2	2	0.1%
2.1	2	0.1%

Value	Count	Frequency (%)
20	1	< 0.1%
18.9	1	< 0.1%
18.4	1	< 0.1%
18.3	1	< 0.1%
18.2	2	0.1%

TotalIntCalls
Real number (ℝ_≥0)

Distinct count	21
Unique (%)	0.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.4794479447944795
Minimum	0
Maximum	20
Zeros	18
Zeros (%)	0.5%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	3
median	4
Q3	6
95-th percentile	9
Maximum	20
Range	20
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.461214271
Coefficient of variation (CV)	0.5494458917
Kurtosis	3.083588982
Mean	4.479447945
Median Absolute Deviation (MAD)	1
Skewness	1.321478166
Sum	14930
Variance	6.057575686

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3	668	20.0%
4	619	18.6%
2	489	14.7%
5	472	14.2%
6	336	10.1%
7	218	6.5%
1	160	4.8%
8	116	3.5%
9	109	3.3%
10	50	1.5%
Other values (11)	96	2.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	18	0.5%
1	160	4.8%
2	489	14.7%
3	668	20.0%
4	619	18.6%

Value	Count	Frequency (%)
20	1	< 0.1%
19	1	< 0.1%
18	3	0.1%
17	1	< 0.1%
16	2	0.1%

TotalIntCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	162
Unique (%)	4.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.7645814581458144
Minimum	0.0
Maximum	5.4
Zeros	18
Zeros (%)	0.5%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	1.54
Q1	2.3
median	2.78
Q3	3.27
95-th percentile	3.97
Maximum	5.4
Range	5.4
Interquartile range (IQR)	0.97

Descriptive statistics

Standard deviation	0.7537726127
Coefficient of variation (CV)	0.2726534284
Kurtosis	0.6096104298
Mean	2.764581458
Median Absolute Deviation (MAD)	0.48
Skewness	-0.2452865083
Sum	9214.35
Variance	0.5681731516

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2.7	62	1.9%
3.05	59	1.8%
2.65	56	1.7%
2.94	56	1.7%
2.73	53	1.6%
2.86	53	1.6%
2.75	53	1.6%
3	52	1.6%
2.97	52	1.6%
2.62	51	1.5%
Other values (152)	2786	83.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	18	0.5%
0.3	1	< 0.1%
0.35	1	< 0.1%
0.54	2	0.1%
0.57	2	0.1%

Value	Count	Frequency (%)
5.4	1	< 0.1%
5.1	1	< 0.1%
4.97	1	< 0.1%
4.94	1	< 0.1%
4.91	2	0.1%

CustomerServiceCalls
Real number (ℝ_≥0)

ZEROS

Distinct count	10
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.5628562856285628
Minimum	0
Maximum	9
Zeros	697
Zeros (%)	20.9%
Memory size	26.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	1
Q3	2
95-th percentile	4
Maximum	9
Range	9
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	1.315491045
Coefficient of variation (CV)	0.8417223368
Kurtosis	1.730913655
Mean	1.562856286
Median Absolute Deviation (MAD)	1
Skewness	1.091359482
Sum	5209
Variance	1.730516689

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	1181	35.4%
2	759	22.8%
0	697	20.9%
3	429	12.9%
4	166	5.0%
5	66	2.0%
6	22	0.7%
7	9	0.3%
9	2	0.1%
8	2	0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	697	20.9%
1	1181	35.4%
2	759	22.8%
3	429	12.9%
4	166	5.0%

Value	Count	Frequency (%)
9	2	0.1%
8	2	0.1%
7	9	0.3%
6	22	0.7%
5	66	2.0%

Churn?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	3.3 KiB

False	2850
True	483

Frequency Table

Value	Count	Frequency (%)
False	2850	85.5%
True	483	14.5%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Cramér's V (φc)

Cramér's V is an association measure for nominal random variables. The coefficient ranges from 0 to 1, with 0 indicating independence and 1 indicating perfect association. The empirical estimators used for Cramér's V have been proved to be biased, even for large samples. We use a bias-corrected measure that has been proposed by Bergsma in 2013 that can be found here.

Count
Matrix

First rows

	State	AccountLength	AreaCode	PhoneNumber	InternationalPlan?	VoiceMailPlan?	NumEmailMessages	TotalMorMin	TotalMorCalls	TotalMorCharge	TotalEveMin	TotalEveCalls	TotalEveCharge	TotalNightMin	TotalNightCalls	TotalNightCharge	TotalIntMinutes	TotalIntCalls	TotalIntCharge	CustomerServiceCalls	Churn?
0	KS	128	415	3824657	No	Yes	25	265.1	110	45.07	197.4	99	16.78	244.7	91	11.01	10.0	3	2.70	1	False
1	OH	107	415	3717191	No	Yes	26	161.6	123	27.47	195.5	103	16.62	254.4	103	11.45	13.7	3	3.70	1	False
2	NJ	137	415	3581921	No	No	0	243.4	114	41.38	121.2	110	10.30	162.6	104	7.32	12.2	5	3.29	0	False
3	OH	84	408	3759999	Yes	No	0	299.4	71	50.90	61.9	88	5.26	196.9	89	8.86	6.6	7	1.78	2	False
4	OK	75	415	3306626	Yes	No	0	166.7	113	28.34	148.3	122	12.61	186.9	121	8.41	10.1	3	2.73	3	False
5	AL	118	510	3918027	Yes	No	0	223.4	98	37.98	220.6	101	18.75	203.9	118	9.18	6.3	6	1.70	0	False
6	MA	121	510	3559993	No	Yes	24	218.2	88	37.09	348.5	108	29.62	212.6	118	9.57	7.5	7	2.03	3	False
7	MO	147	415	3299001	Yes	No	0	157.0	79	26.69	103.1	94	8.76	211.8	96	9.53	7.1	6	1.92	0	False
8	LA	117	408	3354719	No	No	0	184.5	97	31.37	351.6	80	29.89	215.8	90	9.71	8.7	4	2.35	1	False
9	WV	141	415	3308173	Yes	Yes	37	258.6	84	43.96	222.0	111	18.87	326.4	97	14.69	11.2	5	3.02	0	False

Last rows

	State	AccountLength	AreaCode	PhoneNumber	InternationalPlan?	VoiceMailPlan?	NumEmailMessages	TotalMorMin	TotalMorCalls	TotalMorCharge	TotalEveMin	TotalEveCalls	TotalEveCharge	TotalNightMin	TotalNightCalls	TotalNightCharge	TotalIntMinutes	TotalIntCalls	TotalIntCharge	CustomerServiceCalls	Churn?
3323	IN	117	415	3625899	No	No	0	118.4	126	20.13	249.3	97	21.19	227.0	56	10.22	13.6	3	3.67	5	True
3324	WV	159	415	3771164	No	No	0	169.8	114	28.87	197.7	105	16.80	193.7	82	8.72	11.6	4	3.13	1	False
3325	OH	78	408	3688555	No	No	0	193.4	99	32.88	116.9	88	9.94	243.3	109	10.95	9.3	4	2.51	2	False
3326	OH	96	415	3476812	No	No	0	106.6	128	18.12	284.8	87	24.21	178.9	92	8.05	14.9	7	4.02	1	False
3327	SC	79	415	3483830	No	No	0	134.7	98	22.90	189.7	68	16.12	221.4	128	9.96	11.8	5	3.19	2	False
3328	AZ	192	415	4144276	No	Yes	36	156.2	77	26.55	215.5	126	18.32	279.1	83	12.56	9.9	6	2.67	2	False
3329	WV	68	415	3703271	No	No	0	231.1	57	39.29	153.4	55	13.04	191.3	123	8.61	9.6	4	2.59	3	False
3330	RI	28	510	3288230	No	No	0	180.8	109	30.74	288.8	58	24.55	191.9	91	8.64	14.1	6	3.81	2	False
3331	CT	184	510	3646381	Yes	No	0	213.8	105	36.35	159.6	84	13.57	139.2	137	6.26	5.0	10	1.35	2	False
3332	TN	74	415	4004344	No	Yes	25	234.4	113	39.85	265.9	82	22.60	241.4	77	10.86	13.7	4	3.70	0	False

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Cramér's V (φc)

Missing values

Sample

First rows

Last rows